Question

If the zeroes of $a{x}^2+bx+c$ are equal then

• A. c & a have opposite signs
• B. c & b have opposite signs
• C. a&b have opposite signs
• D. a & c have same signs

Answer 1

The correct option is D

a & c have same signs

when roots are equal and say = k , then equation is of the form $\pm (x\pm k{)}^2$ from this we can see that a and c will always have same sign.